Overview

Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. For the first time, this book gives the systematic group analysis of main postulates of classical and relativistic mechanics. The consistent presentation of Lie group theory is illustrated by plentiful examples. Symmetries and conservation laws of differential equations are studied. Specific equations and problems of mechanics and physics are considered, and exact solutions are given for the following equations: dynamics of rigid body, heat transfer, wave, hydrodynamics, Thomas-Fermi and more. The author pays particular attention to the application of group analysis to developing asymptotic methods of applied mathematics in problems with small parameter. The methods are used to solve basic equations (Van Der Pol's equation, Duffing equation, etc.) encountered in the theory of nonlinear oscillations. This book is intended for a wide range of scientists, engineers and students in the fields of applied mathematics, mechanics and physics.

Full Product Details

Author:   D.M. Klimov ,  V. Ph. Zhuravlev
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Dimensions:   Width: 17.80cm , Height: 1.80cm , Length: 25.40cm
Weight:   0.263kg
ISBN:  

9780415298636

ISBN 10:   0415298636
Pages:   240
Publication Date:   15 August 2002
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Klimov, D.M. | Zhuravlev, V. Ph.

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